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Finding the Third Proportional to 53,927 and 83,416

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Solution

The third proportional to 53,927 and 83,416 is: 129,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,927 : 83,416 = 83,416 : x
  2. Step 2: Convert to fraction form
    53,927/83,416 = 83,416/x
  3. Step 3: Cross multiply
    53,927x = 83,416 × 83,416
  4. Step 4: Simplify right side
    53,927x = 6,958,229,056
  5. Step 5: Solve for x
    x = 6,958,229,056/53,927
  6. Step 6: Final answer
    x = 129,030.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.